H∞H∞ fuzzy filter for non-linear sampled-data systems under imperfect premise matching

摘要

This study proposes an H∞ fuzzy filtering technique for non-linear sampled-data systems that are represented on the basis of the Takagi-Sugeno fuzzy model. To improve the performance of the fuzzy filter, an imperfect premise matching condition is considered. An error system between the non-linear system and the fuzzy filter is constructed. In addition, sufficient conditions for showing asymptotic stability and guaranteeing H∞ disturbance attenuation performance are proposed in a Lyapunov sense and derived in terms of linear matrix inequalities. Finally, the feasibility of the proposed technique is demonstrated using two simulation examples.